{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f4373ace-e1be-4f61-86d9-d86272a47d0c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "正在安装LightGBM库...\n",
      "LightGBM库安装完成并成功导入\n"
     ]
    }
   ],
   "source": [
    "# 安装LightGBM\n",
    "try:\n",
    "    import lightgbm as lgb\n",
    "    print(\"LightGBM库已成功导入\")\n",
    "except ImportError:\n",
    "    print(\"正在安装LightGBM库...\")\n",
    "    import sys\n",
    "    import subprocess\n",
    "    subprocess.check_call([sys.executable, \"-m\", \"pip\", \"install\", \"lightgbm\"])\n",
    "    import lightgbm as lgb\n",
    "    print(\"LightGBM库安装完成并成功导入\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "568be581-f12b-4d71-9d50-d141adf5adcd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LightGBM案例1：客户违约预测模型\n",
      "✅ 数据读取成功！\n",
      "准确率: 0.8150, AUC: 0.8042\n",
      "ROC曲线已保存: D:\\商业数据分析案例\\第十章\\LightGBM_客户违约预测_ROC曲线.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import accuracy_score, roc_auc_score, roc_curve\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "import lightgbm as lgb\n",
    "\n",
    "# 创建保存目录\n",
    "save_dir = r'D:\\商业数据分析案例\\第十章'\n",
    "os.makedirs(save_dir, exist_ok=True)\n",
    "\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "print(\"LightGBM案例1：客户违约预测模型\")\n",
    "\n",
    "# 1. 读取数据\n",
    "try:\n",
    "    df = pd.read_excel(r'D:\\商业数据分析案例\\第十章\\客户信息及违约表现.xlsx')\n",
    "    print(\"✅ 数据读取成功！\")\n",
    "except FileNotFoundError:\n",
    "    print(\"❌ 文件未找到，创建示例数据...\")\n",
    "    np.random.seed(42)\n",
    "    n_samples = 1000\n",
    "    df = pd.DataFrame({\n",
    "        '月收入': np.random.randint(3000, 20000, n_samples),\n",
    "        '年龄': np.random.randint(20, 65, n_samples),\n",
    "        '历史逾期次数': np.random.randint(0, 10, n_samples),\n",
    "        '贷款金额': np.random.randint(5000, 50000, n_samples),\n",
    "        '是否违约': np.random.choice([0, 1], n_samples, p=[0.7, 0.3])\n",
    "    })\n",
    "\n",
    "# 2. 准备数据\n",
    "X = df.drop('是否违约', axis=1)\n",
    "y = df['是否违约']\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42, stratify=y)\n",
    "\n",
    "# 3. 训练模型\n",
    "model = lgb.LGBMClassifier(random_state=42, verbosity=-1)\n",
    "model.fit(X_train, y_train)\n",
    "\n",
    "# 4. 预测\n",
    "y_pred = model.predict(X_test)\n",
    "y_pred_proba = model.predict_proba(X_test)[:, 1]\n",
    "\n",
    "# 5. 评估\n",
    "accuracy = accuracy_score(y_test, y_pred)\n",
    "auc = roc_auc_score(y_test, y_pred_proba)\n",
    "print(f\"准确率: {accuracy:.4f}, AUC: {auc:.4f}\")\n",
    "\n",
    "# 6. 保存ROC曲线\n",
    "fpr, tpr, _ = roc_curve(y_test, y_pred_proba)\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(fpr, tpr, 'b-', linewidth=2, label=f'LightGBM (AUC = {auc:.3f})')\n",
    "plt.plot([0, 1], [0, 1], 'k--')\n",
    "plt.xlabel('假正率')\n",
    "plt.ylabel('真正率')\n",
    "plt.title('ROC曲线 - 客户违约预测')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "\n",
    "roc_path = os.path.join(save_dir, 'LightGBM_客户违约预测_ROC曲线.png')\n",
    "plt.savefig(roc_path, dpi=300, bbox_inches='tight')\n",
    "print(f\"ROC曲线已保存: {roc_path}\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7369d7f9-b1f1-4946-9967-1e9377ef4e65",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "LightGBM案例2：广告收益回归预测模型\n",
      "✅ 数据读取成功！\n",
      "数据列名: ['电视', '广播', '报纸', '收益']\n",
      "数据形状: (1000, 4)\n",
      "\n",
      "特征变量: ['电视', '广播', '报纸']\n",
      "目标变量: 收益\n",
      "训练集大小: (800, 3)\n",
      "测试集大小: (200, 3)\n",
      "\n",
      "模型评估结果:\n",
      "R2: 0.9570\n",
      "RMSE: 17.5665\n",
      "\n",
      "预测对比图已保存: D:\\商业数据分析案例\\第十章\\LightGBM_广告收益预测_预测对比.png\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import r2_score, mean_squared_error\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "import lightgbm as lgb\n",
    "\n",
    "# 创建保存目录\n",
    "save_dir = r'D:\\商业数据分析案例\\第十章'\n",
    "os.makedirs(save_dir, exist_ok=True)\n",
    "\n",
    "# 设置字体（避免特殊字符问题）\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei', 'DejaVu Sans']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "\n",
    "print(\"\\nLightGBM案例2：广告收益回归预测模型\")\n",
    "\n",
    "# 1. 读取数据\n",
    "try:\n",
    "    df = pd.read_excel(r'D:\\商业数据分析案例\\第十章\\广告收益数据.xlsx')\n",
    "    print(\"✅ 数据读取成功！\")\n",
    "    print(f\"数据列名: {list(df.columns)}\")\n",
    "    print(f\"数据形状: {df.shape}\")\n",
    "    \n",
    "except FileNotFoundError:\n",
    "    print(\"❌ 文件未找到，创建示例数据...\")\n",
    "    np.random.seed(42)\n",
    "    n_samples = 1000\n",
    "    tv = np.random.uniform(1000, 5000, n_samples)\n",
    "    radio = np.random.uniform(500, 3000, n_samples)\n",
    "    newspaper = np.random.uniform(200, 2000, n_samples)\n",
    "    revenue = tv * 2.5 + radio * 1.8 + newspaper * 0.8 + np.random.normal(0, 500, n_samples)\n",
    "    \n",
    "    df = pd.DataFrame({\n",
    "        '电视': tv,\n",
    "        '广播': radio,\n",
    "        '报纸': newspaper,\n",
    "        '收益': revenue\n",
    "    })\n",
    "\n",
    "# 2. 准备数据\n",
    "X = df[['电视', '广播', '报纸']]\n",
    "y = df['收益']\n",
    "\n",
    "print(f\"\\n特征变量: {X.columns.tolist()}\")\n",
    "print(f\"目标变量: 收益\")\n",
    "\n",
    "# 3. 划分训练集和测试集\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "\n",
    "print(f\"训练集大小: {X_train.shape}\")\n",
    "print(f\"测试集大小: {X_test.shape}\")\n",
    "\n",
    "# 4. 训练模型\n",
    "model = lgb.LGBMRegressor(random_state=42, verbosity=-1)\n",
    "model.fit(X_train, y_train)\n",
    "\n",
    "# 5. 预测\n",
    "y_pred = model.predict(X_test)\n",
    "\n",
    "# 6. 评估\n",
    "r2 = r2_score(y_test, y_pred)\n",
    "rmse = np.sqrt(mean_squared_error(y_test, y_pred))\n",
    "print(f\"\\n模型评估结果:\")\n",
    "print(f\"R2: {r2:.4f}\")  # 使用R2而不是R²\n",
    "print(f\"RMSE: {rmse:.4f}\")\n",
    "\n",
    "# 7. 保存预测对比图\n",
    "plt.figure(figsize=(10, 5))\n",
    "\n",
    "# 子图1：预测值 vs 实际值\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.scatter(y_test, y_pred, alpha=0.6, color='blue')\n",
    "plt.plot([y_test.min(), y_test.max()], [y_test.min(), y_test.max()], 'r--', linewidth=2)\n",
    "plt.xlabel('实际收益')\n",
    "plt.ylabel('预测收益')\n",
    "plt.title('预测值 vs 实际值')\n",
    "plt.grid(True, alpha=0.3)\n",
    "\n",
    "# 添加R2到图表（使用普通文本）\n",
    "plt.text(0.05, 0.95, f'R2 = {r2:.3f}', transform=plt.gca().transAxes, \n",
    "         fontsize=12, verticalalignment='top', \n",
    "         bbox=dict(boxstyle='round', facecolor='white', alpha=0.8))\n",
    "\n",
    "# 子图2：残差图\n",
    "plt.subplot(1, 2, 2)\n",
    "residuals = y_test - y_pred\n",
    "plt.scatter(y_pred, residuals, alpha=0.6, color='green')\n",
    "plt.axhline(y=0, color='red', linestyle='--', linewidth=2)\n",
    "plt.xlabel('预测值')\n",
    "plt.ylabel('残差')\n",
    "plt.title('残差分析')\n",
    "plt.grid(True, alpha=0.3)\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "# 保存图表\n",
    "comparison_path = os.path.join(save_dir, 'LightGBM_广告收益预测_预测对比.png')\n",
    "plt.savefig(comparison_path, dpi=300, bbox_inches='tight')\n",
    "print(f\"\\n预测对比图已保存: {comparison_path}\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cf543cf8-4c7a-4db2-ab1e-351c55bafb0f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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